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Finding the Fourth Proportional to 662,705.58, 994,030.61 and 213,416.51

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Solution

The fourth proportional to 662,705.58, 994,030.61 and 213,416.51 is: 320,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,705.58 : 994,030.61 = 213,416.51 : x
  2. Step 2: Convert to fraction form
    662,705.58/994,030.61 = 213,416.51/x
  3. Step 3: Cross multiply
    662,705.58x = 994,030.61 × 213,416.51
  4. Step 4: Simplify right side
    662,705.58x = 212,142,537,582.14
  5. Step 5: Solve for x
    x = 212,142,537,582.14/662,705.58
  6. Step 6: Final answer
    x = 320,115.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.